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A Generalized Framework for Singular Fractional Burgers Equations with Stochastic Forcing
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we investigate the regularization effect of fractional stochastic forcing on Burgers-type equations with fractional dissipation, with an application to the Degasperi…
Global regularity and sharp decay to the 2D Hypo-Viscous compressible Navier-Stokes equations
Chen Liang, Zhaonan Luo, Zhaoyang Yin
In this paper, we consider the global regularity and the optimal time decay rate for the 2D isentropic hypo-viscous compressible Navier-Stokes equations. Firstly, we prove that the…
Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion
Chen Liang, Zhaonan Luo, Zhaoyang Yin
This paper is devoted to the uniform vanishing damping limit of the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion. Firstly, we find that fractional stress ten…
Well-posedness and regularity for the Fractional Rough Burgers equation in Sobolev spaces with an application
Shuolin Zhang, Zhaonan Luo, Zhaoyang Yin
In this paper, we study the well-posedness of Fractional Rough Burgers equation driven by space-time white noise in space. For the higher dissipation , w…
Non-implosion mechanism of 3D incompessible Euler equations
Wenjie Deng, Song Jiang, Minling Li +1
This paper studies the non-implosion mechanism for the 3D incompressible Euler equations. We prove that vorticity blows up in finite time, whereas the $(p\in…
Global regularity and optimal decay estimates of large solutions to the compressible FENE system
Zhaonan Luo, Zhiying Meng, Zhaoyang Yin
In this paper, we are concerned with the compressible FENE dumbbell model. By virtue of the dissipative structure and the interpolation method, we firstly prove global regularity i…